PUBLISHED PAPERS #06.2
| Nabi Kurbanov, Vusala Babajanova, Ulviya Aliyeva, Kamala Agamaliyeva. Constructing an Approximate Solution to the Problem of Vibrations of Viscoelastic Systems |
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| Abstract. The paper deals with a boundary value problem of vibrations of a viscoelastic system that are described by Volterra type partial integro-differential equations. Here we propose an approach using the Laplace integral transform, which allows to construct a solution to the integro-differential equation in the form of a series, the first term of which is the solution to this equation obtained by the averaging method. For a specific kernel, the effectiveness of this approach is shown, and the influence of various parameters of the equations and initial conditions on the error of the obtained solution is evaluated. |
| Keywords: viscoelasticity, kernel, rheology image, original, Volterra equation, integral transform |
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